2016/055) what is the smallest number with 101 factors

a number of the form $p_1^{q_1} * p_2^{q_2} * p_3 ^{q_3}\cdots$ has $(1+q_1)(1+q_2)(1 + q_3) \cdots$ factors
now 101 is prime so smallest number = $2^{100}$